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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
6 is
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A prime integar
An irrational number
A rational number
An odd integer
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Question # 2
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2x
3x
2
1
0
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Question # 3
A triangle has ____ elements
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3
4
5
6
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Question # 4
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Question # 5
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Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t. to addition
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Question # 6
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Question # 7
7
2n
+ 3
n-1
. 2
3n-3
is divisible by
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24
25
9
13
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Question # 8
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a = -1/2, b = -1
a = 1, b = 2
a = 2, b = 3
None of above
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Question # 9
If p and q are two statements then their conjunction is denoted by
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Question # 10
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Question # 11
Multiplying each side of an inequality by (-1) will:
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Not effect
Change the sign
Become zero
Not defined
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Question # 12
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none of these
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Question # 13
120° degrees are equal to how many radians?
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Question # 14
The nth term of an A.P., is 12-4n. Its common difference is
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8
4
4
16
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Question # 15
The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is
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120°
30°
130°
45°
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Question # 16
A relation in which the equality is true for all values of the unknown is called ______
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An identity
An equation
A polynomial
None of these
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Question # 17
If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is
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1
3
2
4
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Question # 18
If Sn is a definite number as n → ∞,then the geometric series is
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Convergent
Divergent
Oscillatroy
None of these
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Question # 19
In (x +iy) y is called as
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Imaginary part
Complex number
Real part
None of above
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Question # 20
(2.02)4 s equal to
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16
16.6496
17
18
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Question # 21
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Question # 22
The eccentricity of the parabola y
2
= -8x is
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-2
2
-1
1
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Question # 23
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Question # 24
If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is
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Obtuse
Acute
Right angle
Isosceles
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Question # 25
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Question # 26
The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is
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70 m
85 m
35 m
None of these
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Question # 27
Which of the following function form 1 to itself are bi-jective
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F(x) = x + 3
F(x) = x
5
F(x) = 3x + 2
F(x) = x
2
+ x
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Question # 28
What is the value of cos (cos-1 2) ?
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√2
1/2
undefine
0
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Question # 29
If w is a cube root of unity then 1 + w + w
2
= ______
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1
2
0
-1
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Question # 30
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Question # 31
The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is
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(√6,1)
(2,3)
(7,-2√6)
(4,-√6)
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Question # 32
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 33
The expansion (1 + x)
-3
holds when
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|x| > 1
|x| < 1
x < 1
x > 1
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Question # 34
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